Analyze the Graph: Finding Where f(x) > 0

Find all values of $x$

where$f\left(x\right) > 0$.

In this problem, we are tasked with determining the values of $x$ for which the function $f(x)$ is positive. We have been provided a graphical representation of the function, and we will use this graph to find our solution.

Based on the graph, we observe the following behavior of the function $f(x)$:

• The function intersects the x-axis at $x = -4$. This indicates a potential root or turning point where the function transitions from positive to negative or vice versa.
• From the graph, it appears that the function is above the x-axis on both sides of $x = -4$, except exactly at $x = -4$, where it touches the x-axis.

Hence, the function $f(x)$ is positive for $x > -4$ and for $x < -4$. Note that exactly at $x = -4$, the function is zero, not positive.

Therefore, the solution is: $x > -4$ or $x < -4$.

In conclusion, the function $f(x)$ is positive for these values of $x$, except the point where it touches the x-axis.

The corresponding choice given the problem's options is:

$x > -4$ or $x < -4$